Gan-Gross-Prasad Conjecture for U(p,q)
Representation Theory
2022-01-03 v2
Abstract
In this paper, we give a proof of the Gan-Gross-Prasad conjecture for the discrete series of U(p,q). Given a discrete series representation in terms of the Harish-Chandra parameter, the restriction of to U(p-1,q) contains as a subrepresentation if and only if and interlaces in a very special way.
Cite
@article{arxiv.1508.02032,
title = {Gan-Gross-Prasad Conjecture for U(p,q)},
author = {Hongyu He},
journal= {arXiv preprint arXiv:1508.02032},
year = {2022}
}
Comments
34 pages, to appear in Inventiones Mathematicae